Absolute gradient bound for surfaces of constant mean curvature
Kok Seng Chua (1994)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Maximizing properties of extremal surfaces in general relativity”
Absolute gradient bound for surfaces of constant mean curvature
Space-like Weingarten surfaces in the three-dimensional Minkowski space and their natural partial differential equations
Georgi Ganchev, Vesselka Mihova (2013)
Open Mathematics
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On any space-like Weingarten surface in the three-dimensional Minkowski space we introduce locally natural principal parameters and prove that such a surface is determined uniquely up to motion by a special invariant function, which satisfies a natural non-linear partial differential equation. This result can be interpreted as a solution to the Lund-Regge reduction problem for space-like Weingarten surfaces in Minkowski space. We apply this theory to linear fractional space-like Weingarten...
On the behaviour of the surfaces of equilibrium in the capillary tubes when gravity goes to zero
Michele Emmer (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Lorentzian isothermic surfaces and Bonnet pairs
M. A. Magid (2004)
Annales Polonici Mathematici
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Lorentzian surfaces in Lorentz three-space are studied using an indefinite version of the quaternions. A classification theorem for Bonnet pairs in Lorentz three-space is obtained.
On nonparametric surfaces of constant mean curvature
Robert Finn, Enrico Giusti (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Metric minimizing surfaces.
Petrunin, Anton (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Invariants and Bonnet-type theorem for surfaces in ℝ4
Georgi Ganchev, Velichka Milousheva (2010)
Open Mathematics
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In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map ofWeingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type for this frame field, we obtain eight invariant functions. We prove a fundamental theorem of Bonnet-type, stating that these eight invariants under some natural conditions determine the surface up to a motion. We show that the basic geometric classes...